I think a workable rule is that you need a verb with at least two syllables, not that you have to use the verb twice.
So it is ok to say
你把门打开来
你把工具整理一下
你把垃圾拿去丢掉
But it is not ok to say
你把门开
你把垃圾丢
你把电话放
You can make all the "not OK" examples OK by adding another syllable to the verbs:
你把门打开
你把垃圾丢掉
你把电话放着